GCD of 588, 245, 359 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 588, 245, 359 i.e. 1 largest integer that divides all the numbers equally.
GCD of 588, 245, 359 is 1
GCD(588, 245, 359) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 588, 245, 359 is 1
GCD(588, 245, 359) = 1
GCDof 588,245,359 is 1
Given Input numbers are 588, 245, 359
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Greatest Common Divisior
We found the divisors of 588, 245, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 245, 359 is 1.
Therefore, GCD of numbers 588, 245, 359 is 1
Given Input Data is 588, 245, 359
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 359 is 359
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 588, 245, 359 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(588, 245) = 2940
GCD(588, 245) = ( 588 x 245 ) / 2940
GCD(588, 245) = 144060 / 2940
GCD(588, 245) = 49
Step2:
Here we consider the GCD from the above i.e. 49 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(49, 359) = 17591
GCD(49, 359) = ( 49 x 359 ) / 17591
GCD(49, 359) = 17591 / 17591
GCD(49, 359) = 1
GCD of 588, 245, 359 is 1
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FAQs on GCD of numbers 588, 245, 359
1. What is the GCD of 588, 245, 359?
GCD of 588, 245, 359 is 1
2. Where do I get the detailed procedure to find GCD of 588, 245, 359?
You can find a detailed procedure to find GCD of 588, 245, 359 on our page.
3. How to find GCD of 588, 245, 359 on a calculator?
You can find the GCD of 588, 245, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
